Highest Common Factor of 8310, 1955 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8310, 1955 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 8310, 1955 is 5 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8310, 1955 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8310, 1955 is 5.
HCF(8310, 1955) = 5
HCF of 8310, 1955 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8310, 1955 is 5.
Highest Common Factor of 8310,1955 is 5
Step 1: Since 8310 > 1955, we apply the division lemma to 8310 and 1955, to get
8310 = 1955 x 4 + 490
Step 2: Since the reminder 1955 ≠ 0, we apply division lemma to 490 and 1955, to get
1955 = 490 x 3 + 485
Step 3: We consider the new divisor 490 and the new remainder 485, and apply the division lemma to get
490 = 485 x 1 + 5
We consider the new divisor 485 and the new remainder 5, and apply the division lemma to get
485 = 5 x 97 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8310 and 1955 is 5
Notice that 5 = HCF(485,5) = HCF(490,485) = HCF(1955,490) = HCF(8310,1955) .
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Frequently Asked Questions on HCF of 8310, 1955 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8310, 1955?
Answer: HCF of 8310, 1955 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8310, 1955 using Euclid's Algorithm?
Answer: For arbitrary numbers 8310, 1955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.